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Finding the Fourth Proportional to 6,336.89, 9,505.35 and 3,738

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Solution

The fourth proportional to 6,336.89, 9,505.35 and 3,738 is: 5,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.89 : 9,505.35 = 3,738 : x
  2. Step 2: Convert to fraction form
    6,336.89/9,505.35 = 3,738/x
  3. Step 3: Cross multiply
    6,336.89x = 9,505.35 × 3,738
  4. Step 4: Simplify right side
    6,336.89x = 35,530,998.30
  5. Step 5: Solve for x
    x = 35,530,998.30/6,336.89
  6. Step 6: Final answer
    x = 5,607.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.